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Algebraic inequalities

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Algebraic inequalities/ by Hayk Sedrakyan, Nairi Sedrakyan.
作者:	Sedrakyan, Hayk.
其他作者:	Sedrakyan, Nairi.
出版者:	Cham :Springer International Publishing : : 2018.,
面頁冊數:	xiii, 243 p. :digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Inequalities (Mathematics) -
電子資源:	http://dx.doi.org/10.1007/978-3-319-77836-5
ISBN:	9783319778365

Algebraic inequalities
Sedrakyan, Hayk.

Algebraic inequalities[electronic resource] /by Hayk Sedrakyan, Nairi Sedrakyan. - Cham :Springer International Publishing :2018. - xiii, 243 p. :digital ;24 cm. - Problem books in mathematics,0941-3502. - Problem books in mathematics..

Basic Inequalities and their Applications -- Strum's Method -- The HM-GM-AM-QM Inequalities -- Cauchy-Bunyakovsky-Schwarz Inequality -- Change of Variable(s) Method -- Symmetry and Homogeneity -- The Principle of Mathematical Introduction -- One Useful Inequality -- Using Derivatives and Integrals -- Using Functions -- Jensen's Inequality -- Inequalities of Sequences -- Algebraic Inequalities in Number Theory -- Miscellaneous Inequalities.

This unique collection of new and classical problems provides full coverage of algebraic inequalities. Many of the exercises are presented with detailed author-prepared-solutions, developing creativity and an arsenal of new approaches for solving mathematical problems. Algebraic Inequalities can be considered a continuation of the book Geometric Inequalities: Methods of Proving by the authors. This book can serve teachers, high-school students, and mathematical competitors. It may also be used as supplemental reading, providing readers with new and classical methods for proving algebraic inequalities.

ISBN: 9783319778365

Standard No.: 10.1007/978-3-319-77836-5doiSubjects--Topical Terms:

672354
Inequalities (Mathematics)

LC Class. No.: QA295 / .S437 2018

Dewey Class. No.: 512.97

Algebraic inequalities
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505 0 $a Basic Inequalities and their Applications -- Strum's Method -- The HM-GM-AM-QM Inequalities -- Cauchy-Bunyakovsky-Schwarz Inequality -- Change of Variable(s) Method -- Symmetry and Homogeneity -- The Principle of Mathematical Introduction -- One Useful Inequality -- Using Derivatives and Integrals -- Using Functions -- Jensen's Inequality -- Inequalities of Sequences -- Algebraic Inequalities in Number Theory -- Miscellaneous Inequalities.
520 $a This unique collection of new and classical problems provides full coverage of algebraic inequalities. Many of the exercises are presented with detailed author-prepared-solutions, developing creativity and an arsenal of new approaches for solving mathematical problems. Algebraic Inequalities can be considered a continuation of the book Geometric Inequalities: Methods of Proving by the authors. This book can serve teachers, high-school students, and mathematical competitors. It may also be used as supplemental reading, providing readers with new and classical methods for proving algebraic inequalities.
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